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Finding the Fourth Proportional to 7,870.75, 11,808.16 and 2,323.87

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Solution

The fourth proportional to 7,870.75, 11,808.16 and 2,323.87 is: 3,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.75 : 11,808.16 = 2,323.87 : x
  2. Step 2: Convert to fraction form
    7,870.75/11,808.16 = 2,323.87/x
  3. Step 3: Cross multiply
    7,870.75x = 11,808.16 × 2,323.87
  4. Step 4: Simplify right side
    7,870.75x = 27,440,593.45
  5. Step 5: Solve for x
    x = 27,440,593.45/7,870.75
  6. Step 6: Final answer
    x = 3,486.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.